The number 375
375 is a composite number with 8 divisors. Its prime factorisation is 3 × . Divisors (8): 1, 3, 5, 15, 25, 75, 125, 375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 375: a Harshad number: divisible by its digit sum 15.
- 2
375 is composite. Its prime factorisation is
- 3
The divisors add up to 624; without 375 itself that is 249, so 375 is deficient (249 is less than 375). Euler's totient φ(375) = 200 numbers up to 375 share no factor with it.
- 4
The digits of 375 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 375 = 3 \times 5^{3} \]375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 624 |
| Euler totient φ(n) | 200 |
| Square | 140625 |
| Cube | 52734375 |
| Square root | 19.364917 (= 5√15) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 3.75 × |
375 in other forms
| Form | Value |
|---|---|
| In words | three hundred and seventy-five |
| Roman numerals | CCCLXXV |
| Binary (base 2) | 101110111 |
| Octal (base 8) | 567 |
| Hexadecimal (base 16) | 177 |
| Base 3 | 111220 |
| As time | 375 seconds = 6 min 15 s |
Is 375 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (375 ÷ 3 = 125) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (375 ÷ 5 = 75) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 375 a prime number?
No. 375 = 3 × , so it is divisible by 3.
What are the factors of 375?
1, 3, 5, 15, 25, 75, 125, 375.
What is 375 in binary?
101110111 (hexadecimal 177, octal 567).
What is the square root of 375?
About 19.3649, exactly 5√15.
What is 375 in Roman numerals?
CCCLXXV.
Is 375 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 375?
375 is a Harshad number: divisible by its digit sum 15.